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Finding the Fourth Proportional to 20,434.84, 30,630.44 and 11,650.84

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Solution

The fourth proportional to 20,434.84, 30,630.44 and 11,650.84 is: 17,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.84 : 30,630.44 = 11,650.84 : x
  2. Step 2: Convert to fraction form
    20,434.84/30,630.44 = 11,650.84/x
  3. Step 3: Cross multiply
    20,434.84x = 30,630.44 × 11,650.84
  4. Step 4: Simplify right side
    20,434.84x = 356,870,355.57
  5. Step 5: Solve for x
    x = 356,870,355.57/20,434.84
  6. Step 6: Final answer
    x = 17,463.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.